When you use likelihood model that assumes a Weibull series system and candidate sets represented by Boolean vectors (x1, x2, x3) that satisfy conditions C1, C2, and C3, the MLE of the shape and scale parameters are:

guo_weibull_series_md

Format

A list with the following components:

mle

The MLE of the shape and scale parameters

loglike

The log-likelihood of the MLE

data

The data used to compute the MLE

p_hat

The estimated probability of a non-failed component being in the candidate set

tau

The right-censoring time (infinity)

family

The family of the likelihood model (weibull series)

Details

  • β1 = 1.2576

  • η1 = 994.3661

  • β2 = 1.1635

  • η2 = 908.9458

  • β3 = 1.1308

  • η3 = 840.1141

  • θ̂ = (β1, η1, β2, η2, β3, η3)

This has a log-likelihood of -228.6851.